No CrossRef data available.
Article contents
Units in Integral Group Rings for Order pq
Published online by Cambridge University Press: 20 November 2018
Abstract
For any finite abelian group A, let Ω(A) denote the group of units in the integral group ring which are mapped to cyclotomic units by every character of A. It always contains a subgroup Y(A), of finite index, for which a basis can be systematically exhibited. For A of order pq, where p and q are odd primes, we derive estimates for the index [Ω(A) : Y(A)]. In particular, we obtain conditions for its triviality.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1995